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5-5 Dividing by Two-Digit Divisors

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Rudy Alfonso
Rudy Alfonso

The document provides instructions for long division with multi-digit divisors. It demonstrates the step-by-step process of dividing 179 by 26. The key steps are to first estimate the quotient, then divide the hundreds place, multiply and subtract, bring down remaining digits and repeat until there is no number left to divide. The answer is checked by multiplying the divisor and quotient.

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5-5 Dividing by Two-Digit Divisor Math Notes Number Sense 2.2
What you’re learning today... Number Sense 2.2 - Demonstrate proficiency with division ... including long division with multi-digit divisors.
What you’re learning today... Number Sense 2.2 - Demonstrate proficiency with division ... including long division with multi-digit divisors. WHAT YOU’VE LEARNED ALREADY
What you’re learning today... Number Sense 2.2 - Demonstrate proficiency with division ... including long division with multi-digit divisors. 2 8r6 8 230 16 70 64 06 WHAT YOU’VE LEARNED ALREADY
What you’re learning today... Number Sense 2.2 - Demonstrate proficiency with division ... including long division with multi-digit divisors. 2 8r6 8 230 16 WHAT YOU’RE 70 LEARNING TO DO TODAY 64 06 WHAT YOU’VE LEARNED ALREADY
What you’re learning today... Number Sense 2.2 - Demonstrate proficiency with division ... including long division with multi-digit divisors. 26 279 2 8r6 8 230 16 WHAT YOU’RE 70 LEARNING TO DO TODAY 64 06 WHAT YOU’VE LEARNED ALREADY
What you’re learning today... Number Sense 2.2 - Demonstrate proficiency with division ... including long division with multi-digit divisors. 26 279 2 8r6 8 230 16 WHAT YOU’RE 70 LEARNING TO DO TODAY 64 06 WHAT YOU’VE LEARNED ALREADY
What you’re learning today... Number Sense 2.2 - Demonstrate proficiency with division ... including long division with multi-digit divisors. 26 279 2 8r6 8 230 16 WHAT YOU’RE 70 LEARNING TO DO TODAY 64 06 Skills Needed: WHAT YOU’VE Estimating Quotients LEARNED ALREADY
Long Division Mnemonic: REVIEW
Long Division Mnemonic: REVIEW DAD DIVIDE MOM MULTIPLY SISTER SUBTRACT BROTHER BRING DOWN ROVER REPEAT OR REMAINDER
179
26 179
26 179 IMPORTANT: Estimate Quotient
IMPORTANT: Estimate Quotient 179 ÷ 26
IMPORTANT: Estimate Quotient 179 ÷ 26 Let’s round this to...
IMPORTANT: Estimate Quotient 179 ÷ 30 Let’s round this to...
IMPORTANT: Estimate Quotient 179 ÷ Let’s round this to... 30
IMPORTANT: Estimate Quotient 179 ÷ Let’s round this to... Skip count 30
IMPORTANT: Estimate Quotient 179 ÷ Let’s round this to... Skip count 30 30, 60, 90, 120, 150, 180
IMPORTANT: Estimate Quotient 179 ÷ Let’s round this to... Skip count 30 30, 60, 90, 120, 150, 180 Which is close to 179?
IMPORTANT: Estimate Quotient 179 ÷ Let’s round this to... Skip count 30 30, 60, 90, 120, 150, 180 Which is close to 179?
IMPORTANT: Estimate Quotient 180 ÷ Let’s round this to... Skip count 30 30, 60, 90, 120, 150, 180 Which is close to 179?
IMPORTANT: Estimate Quotient Let’s round this to... Skip count 180 ÷ 30 30, 60, 90, 120, 150, 180 Which is close to 179?
IMPORTANT: Estimate Quotient Let’s round this to... Skip count 180 ÷ 30 30, 60, 90, 120, 150, 180 Which is close to 179? 30 into 180 is
IMPORTANT: Estimate Quotient Let’s round this to... Skip count 180 ÷ 30 30, 60, 90, 120, 150, 180 Which is close to 179? 30 into 180 is 6
DAD MOM SISTER BROTHER ROVER
DAD MOM SISTER BROTHER ROVER
DAD MOM SISTER 179 BROTHER ROVER
DAD MOM SISTER 26 179 BROTHER ROVER
STEP 0: Use DAD guidelines MOM SISTER 26 179 BROTHER ROVER
STEP 0: Use DAD guidelines MOM SISTER 26 179 BROTHER ROVER
STEP 0: Use DAD guidelines MOM SISTER 26 179 STEP 1: Because 26 cannot go into 1 or 17, DIVIDE 169 by 6 BROTHER (Our estimate) ROVER
STEP 0: Use 0 DAD guidelines MOM SISTER 26 179 STEP 1: Because 26 cannot go into 1 or 17, DIVIDE 169 by 6 BROTHER (Our estimate) ROVER
STEP 0: Use 00 DAD guidelines MOM SISTER 26 179 STEP 1: Because 26 cannot go into 1 or 17, DIVIDE 169 by 6 BROTHER (Our estimate) ROVER
STEP 0: Use 00 6 DAD guidelines MOM SISTER 26 179 STEP 1: Because 26 cannot go into 1 or 17, DIVIDE 169 by 6 BROTHER (Our estimate) ROVER
STEP 0: Use 00 6 DAD guidelines MOM SISTER 26 179 STEP 1: Because 26 cannot go into 1 or 17, DIVIDE 169 by 6 BROTHER (Our estimate) ROVER STEP 2: MULTIPLY 26 by 6
STEP 0: Use 00 6 DAD guidelines MOM 26 179 STEP 1: Because 26 cannot go into 1 or 17, 156 SISTER DIVIDE 169 by 6 BROTHER (Our estimate) ROVER STEP 2: MULTIPLY 26 by 6
STEP 0: Use 00 6 DAD guidelines MOM 26 179 STEP 1: Because 26 cannot go into 1 or 17, 156 SISTER DIVIDE 169 by 6 BROTHER (Our estimate) ROVER STEP 2: MULTIPLY 26 by 6 STEP 3: SUBTRACT 179 - 156
STEP 0: Use 00 6 DAD guidelines MOM 26 179 STEP 1: Because 26 cannot go into 1 or 17, 156 SISTER DIVIDE 169 by 6 BROTHER (Our estimate) ROVER 23 STEP 2: MULTIPLY 26 by 6 STEP 3: SUBTRACT 179 - 156
STEP 0: Use 00 6 DAD guidelines MOM 26 179 STEP 1: Because 26 cannot go into 1 or 17, 156 SISTER DIVIDE 169 by 6 BROTHER (Our estimate) ROVER 23 STEP 2: MULTIPLY STEP 3a: COMPARE 26 by 6 Is the remainder less than the divisor? STEP 3: SUBTRACT 179 - 156
STEP 0: Use 00 6 DAD guidelines MOM 26 179 STEP 1: Because 26 cannot go into 1 or 17, 156 SISTER DIVIDE 169 by 6 BROTHER (Our estimate) ROVER 23 STEP 2: MULTIPLY STEP 3a: COMPARE 26 by 6 Is the remainder less than the divisor? If yes, move on. STEP 3: If no, REDO SUBTRACT 179 - 156
STEP 0: Use 00 6 DAD guidelines MOM 26 179 STEP 1: Because 26 cannot go into 1 or 17, 156 SISTER DIVIDE 169 by 6 BROTHER (Our estimate) ROVER 23 STEP 2: MULTIPLY STEP 3a: COMPARE 26 by 6 Is the remainder less than the divisor? If yes, move on. STEP 3: If no, REDO SUBTRACT 179 - 156 23 < 26 MOVE ON
STEP 0: Use 00 6 DAD guidelines MOM 26 179 STEP 1: Because 26 cannot go into 1 or 17, 156 SISTER DIVIDE 169 by 6 BROTHER (Our estimate) ROVER 23 STEP 2: MULTIPLY STEP 3a: COMPARE 26 by 6 Is the remainder less than the divisor? If yes, move on. STEP 3: If no, REDO SUBTRACT 179 - 156 STEP 4: 23 < 26 Nothing to MOVE ON BRING DOWN
STEP 0: Use 00 6 DAD guidelines MOM 26 179 STEP 1: Because 26 cannot go into 1 or 17, 156 SISTER DIVIDE 169 by 6 BROTHER (Our estimate) ROVER 23 STEP 2: MULTIPLY STEP 3a: COMPARE 26 by 6 STEP 5: Is the remainder less than the divisor? REPEAT or REMAINDER If yes, move on. STEP 3: If no, REDO SUBTRACT 179 - 156 STEP 4: 23 < 26 Nothing to MOVE ON BRING DOWN
STEP 0: Use 00 6 r23 DAD guidelines MOM 26 179 STEP 1: Because 26 cannot go into 1 or 17, 156 SISTER DIVIDE 169 by 6 BROTHER (Our estimate) ROVER 23 STEP 2: MULTIPLY STEP 3a: COMPARE 26 by 6 STEP 5: Is the remainder less than the divisor? REPEAT or REMAINDER If yes, move on. STEP 3: If no, REDO SUBTRACT 179 - 156 STEP 4: 23 < 26 Nothing to MOVE ON BRING DOWN
Check By Multiplying 26 Answer: 6r23 x 6
Check By Multiplying 26 Answer: 6r23 x 6
Check By Multiplying 26 Answer: 6r23 x 6 6
Check By Multiplying 3 26 Answer: 6r23 x 6 6
Check By Multiplying 3 26 Answer: 6r23 x 6 6
Check By Multiplying 3 26 Answer: 6r23 x 6 156
Check By Multiplying 3 26 Answer: 6r23 x 6 156 + 23
Check By Multiplying 3 26 Answer: 6r23 x 6 156 + 23 9
Check By Multiplying 3 26 Answer: 6r23 x 6 156 + 23 79
Check By Multiplying 3 26 Answer: 6r23 x 6 156 + 23 179
Check By Multiplying 3 26 Answer: 6r23 x 6 156 + 23 179 Checks out!
258
35 258
35 258 IMPORTANT: Estimate Quotient
IMPORTANT: Estimate Quotient 258 ÷ 35
IMPORTANT: Estimate Quotient 258 ÷ 35 Let’s round this to...
IMPORTANT: Estimate Quotient 258 ÷ 40 Let’s round this to...
IMPORTANT: Estimate Quotient 258 ÷ Let’s round this to... 40
IMPORTANT: Estimate Quotient 258 ÷ Let’s round this to... Skip count 40
IMPORTANT: Estimate Quotient 258 ÷ Let’s round this to... Skip count 40 40, 80, 120, 160, 200, 240, 280
IMPORTANT: Estimate Quotient 258 ÷ Let’s round this to... Skip count 40 40, 80, 120, 160, 200, 240, 280 Which is close to 258?
IMPORTANT: Estimate Quotient 258 ÷ Let’s round this to... Skip count 40 40, 80, 120, 160, 200, 240, 280 Which is close to 258?
IMPORTANT: Estimate Quotient 240 ÷ Let’s round this to... Skip count 40 40, 80, 120, 160, 200, 240, 280 Which is close to 258?
IMPORTANT: Estimate Quotient Let’s round this to... Skip count 240 ÷ 40 40, 80, 120, 160, 200, 240, 280 Which is close to 258?
IMPORTANT: Estimate Quotient Let’s round this to... Skip count 240 ÷ 40 40, 80, 120, 160, 200, 240, 280 Which is close to 258? 40 into 240 is
IMPORTANT: Estimate Quotient Let’s round this to... Skip count 240 ÷ 40 40, 80, 120, 160, 200, 240, 280 Which is close to 258? 40 into 240 is 6
DAD MOM SISTER BROTHER ROVER
DAD MOM SISTER BROTHER ROVER
DAD MOM SISTER 258 BROTHER ROVER
DAD MOM SISTER 35 258 BROTHER ROVER
STEP 0: Use DAD guidelines MOM SISTER 35 258 BROTHER ROVER
STEP 0: Use DAD guidelines MOM SISTER 35 258 BROTHER ROVER
STEP 0: Use DAD guidelines MOM SISTER 35 258 STEP 1: Because 35 cannot go into 2 or 25, DIVIDE 258 by 35 BROTHER (Our estimate = 6) ROVER
STEP 0: Use 0 DAD guidelines MOM SISTER 35 258 STEP 1: Because 35 cannot go into 2 or 25, DIVIDE 258 by 35 BROTHER (Our estimate = 6) ROVER
STEP 0: Use 00 DAD guidelines MOM SISTER 35 258 STEP 1: Because 35 cannot go into 2 or 25, DIVIDE 258 by 35 BROTHER (Our estimate = 6) ROVER
STEP 0: Use 00 6 DAD guidelines MOM SISTER 35 258 STEP 1: Because 35 cannot go into 2 or 25, DIVIDE 258 by 35 BROTHER (Our estimate = 6) ROVER
STEP 0: Use 00 6 DAD guidelines MOM SISTER 35 258 STEP 1: Because 35 cannot go into 2 or 25, DIVIDE 258 by 35 BROTHER (Our estimate = 6) ROVER STEP 2: MULTIPLY 35 by 6
STEP 0: Use 00 6 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 210 SISTER DIVIDE 258 by 35 BROTHER (Our estimate = 6) ROVER STEP 2: MULTIPLY 35 by 6
STEP 0: Use 00 6 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 210 SISTER DIVIDE 258 by 35 BROTHER (Our estimate = 6) ROVER STEP 2: MULTIPLY 35 by 6 STEP 3: SUBTRACT 258 - 210
STEP 0: Use 00 6 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 210 SISTER DIVIDE 258 by 35 BROTHER (Our estimate = 6) ROVER 48 STEP 2: MULTIPLY 35 by 6 STEP 3: SUBTRACT 258 - 210
STEP 0: Use 00 6 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 210 SISTER DIVIDE 258 by 35 BROTHER (Our estimate = 6) ROVER 48 STEP 2: MULTIPLY STEP 3a: COMPARE 35 by 6 Is the remainder less than the divisor? STEP 3: SUBTRACT 258 - 210
STEP 0: Use 00 6 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 210 SISTER DIVIDE 258 by 35 BROTHER (Our estimate = 6) ROVER 48 STEP 2: MULTIPLY STEP 3a: COMPARE 35 by 6 Is the remainder less than the divisor? If yes, move on. STEP 3: If no, REDO SUBTRACT 258 - 210
STEP 0: Use 00 6 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 210 SISTER DIVIDE 258 by 35 BROTHER (Our estimate = 6) ROVER 48 STEP 2: MULTIPLY STEP 3a: COMPARE 35 by 6 Is the remainder less than the divisor? If yes, move on. STEP 3: If no, REDO SUBTRACT 258 - 210 48 > 35 REDO
DAD MOM SISTER BROTHER ROVER
DAD MOM SISTER BROTHER ROVER
DAD MOM SISTER 258 BROTHER ROVER
DAD MOM SISTER 35 258 BROTHER ROVER
STEP 0: Use DAD guidelines MOM SISTER 35 258 BROTHER ROVER
STEP 0: Use DAD guidelines MOM SISTER 35 258 BROTHER ROVER
STEP 0: Use DAD guidelines MOM SISTER 35 258 STEP 1: Because 35 cannot go into 2 or 25, DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER
STEP 0: Use 0 DAD guidelines MOM SISTER 35 258 STEP 1: Because 35 cannot go into 2 or 25, DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER
STEP 0: Use 00 DAD guidelines MOM SISTER 35 258 STEP 1: Because 35 cannot go into 2 or 25, DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER
STEP 0: Use 00 7 DAD guidelines MOM SISTER 35 258 STEP 1: Because 35 cannot go into 2 or 25, DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER
STEP 0: Use 00 7 DAD guidelines MOM SISTER 35 258 STEP 1: Because 35 cannot go into 2 or 25, DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER STEP 2: MULTIPLY 35 by 7
STEP 0: Use 00 7 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 245 SISTER DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER STEP 2: MULTIPLY 35 by 7
STEP 0: Use 00 7 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 245 SISTER DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER STEP 2: MULTIPLY 35 by 7 STEP 3: SUBTRACT 258 - 245
STEP 0: Use 00 7 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 245 SISTER DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER 13 STEP 2: MULTIPLY 35 by 7 STEP 3: SUBTRACT 258 - 245
STEP 0: Use 00 7 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 245 SISTER DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER 13 STEP 2: MULTIPLY STEP 3a: COMPARE 35 by 7 Is the remainder less than the divisor? STEP 3: SUBTRACT 258 - 245
STEP 0: Use 00 7 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 245 SISTER DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER 13 STEP 2: MULTIPLY STEP 3a: COMPARE 35 by 7 Is the remainder less than the divisor? If yes, move on. STEP 3: If no, REDO SUBTRACT 258 - 245
STEP 0: Use 00 7 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 245 SISTER DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER 13 STEP 2: MULTIPLY STEP 3a: COMPARE 35 by 7 Is the remainder less than the divisor? If yes, move on. STEP 3: If no, REDO SUBTRACT 258 - 245 13 < 35 Move on
STEP 0: Use 00 7 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 245 SISTER DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER 13 STEP 2: MULTIPLY STEP 3a: COMPARE 35 by 7 Is the remainder less than the divisor? If yes, move on. STEP 3: If no, REDO SUBTRACT 258 - 245 STEP 4: 13 < 35 Nothing to Move on BRING DOWN
STEP 0: Use 00 7 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 245 SISTER DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER 13 STEP 2: MULTIPLY STEP 3a: COMPARE 35 by 7 STEP 5: Is the remainder less than the divisor? REPEAT or REMAINDER If yes, move on. STEP 3: If no, REDO SUBTRACT 258 - 245 STEP 4: 13 < 35 Nothing to Move on BRING DOWN
STEP 0: Use 00 7r13 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 245 SISTER DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER 13 STEP 2: MULTIPLY STEP 3a: COMPARE 35 by 7 STEP 5: Is the remainder less than the divisor? REPEAT or REMAINDER If yes, move on. STEP 3: If no, REDO SUBTRACT 258 - 245 STEP 4: 13 < 35 Nothing to Move on BRING DOWN
Check By Multiplying 35 Answer: 7 r13 x 7
Check By Multiplying 35 Answer: 7 r13 x 7
Check By Multiplying 35 Answer: 7 r13 x 7 5
Check By Multiplying 3 35 Answer: 7 r13 x 7 5
Check By Multiplying 3 35 Answer: 7 r13 x 7 5
Check By Multiplying 3 35 Answer: 7 r13 x 7 245
Check By Multiplying 3 35 Answer: 7 r13 x 7 245 + 13
Check By Multiplying 3 35 Answer: 7 r13 x 7 245 + 13 8
Check By Multiplying 3 35 Answer: 7 r13 x 7 245 + 13 58
Check By Multiplying 3 35 Answer: 7 r13 x 7 245 + 13 258
Check By Multiplying 3 35 Answer: 7 r13 x 7 245 + 13 258 Checks out!
268
32 268
32 268 IMPORTANT: Estimate Quotient
IMPORTANT: Estimate Quotient 268 ÷ 32
IMPORTANT: Estimate Quotient 268 ÷ 32 Let’s round this to...
IMPORTANT: Estimate Quotient 268 ÷ 30 Let’s round this to...
IMPORTANT: Estimate Quotient 268 ÷ Let’s round this to... 30
IMPORTANT: Estimate Quotient 268 ÷ Let’s round this to... Skip count 30
IMPORTANT: Estimate Quotient 268 ÷ Let’s round this to... Skip count 30 30, 60, 90, 120, 150, 180, 210, 240, 270, 300
IMPORTANT: Estimate Quotient 268 ÷ Let’s round this to... Skip count 30 30, 60, 90, 120, 150, 180, 210, 240, 270, 300 Which is close to 268?
IMPORTANT: Estimate Quotient 268 ÷ Let’s round this to... Skip count 30 30, 60, 90, 120, 150, 180, 210, 240, 270, 300 Which is close to 268?
IMPORTANT: Estimate Quotient 270 ÷ Let’s round this to... Skip count 30 30, 60, 90, 120, 150, 180, 210, 240, 270, 300 Which is close to 268?
IMPORTANT: Estimate Quotient Let’s round this to... Skip count 270 ÷ 30 30, 60, 90, 120, 150, 180, 210, 240, 270, 300 Which is close to 268?
IMPORTANT: Estimate Quotient Let’s round this to... Skip count 270 ÷ 30 30, 60, 90, 120, 150, 180, 210, 240, 270, 300 Which is close to 268? 30 into 270 is
IMPORTANT: Estimate Quotient Let’s round this to... Skip count 270 ÷ 30 30, 60, 90, 120, 150, 180, 210, 240, 270, 300 Which is close to 268? 30 into 270 is 9
DAD MOM SISTER BROTHER ROVER
DAD MOM SISTER BROTHER ROVER
DAD MOM SISTER 268 BROTHER ROVER
DAD MOM SISTER 32 268 BROTHER ROVER
STEP 0: Use DAD guidelines MOM SISTER 32 268 BROTHER ROVER
STEP 0: Use DAD guidelines MOM SISTER 32 268 BROTHER ROVER
STEP 0: Use DAD guidelines MOM SISTER 32 268 STEP 1: Because 32 cannot go into 2 or 26, DIVIDE 268 by 9 BROTHER (Our estimate) ROVER
STEP 0: Use 0 DAD guidelines MOM SISTER 32 268 STEP 1: Because 32 cannot go into 2 or 26, DIVIDE 268 by 9 BROTHER (Our estimate) ROVER
STEP 0: Use 00 DAD guidelines MOM SISTER 32 268 STEP 1: Because 32 cannot go into 2 or 26, DIVIDE 268 by 9 BROTHER (Our estimate) ROVER
STEP 0: Use 0 09 DAD guidelines MOM SISTER 32 268 STEP 1: Because 32 cannot go into 2 or 26, DIVIDE 268 by 9 BROTHER (Our estimate) ROVER
STEP 0: Use 0 09 DAD guidelines MOM SISTER 32 268 STEP 1: Because 32 cannot go into 2 or 26, DIVIDE 268 by 9 BROTHER (Our estimate) ROVER STEP 2: MULTIPLY 32 by 9
STEP 0: Use 0 09 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 288 SISTER DIVIDE 268 by 9 BROTHER (Our estimate) ROVER STEP 2: MULTIPLY 32 by 9
STEP 0: Use 0 09 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 288 SISTER DIVIDE 268 by 9 BROTHER (Our estimate) ROVER STEP 2: MULTIPLY 32 by 9
STEP 0: Use 0 09 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 288 SISTER DIVIDE 268 by 9 BROTHER (Our estimate) ROVER STEP 2: MULTIPLY 32 by 9
STEP 0: Use 0 09 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 288 SISTER DIVIDE 268 by 9 BROTHER (Our estimate) ROVER STEP 2: MULTIPLY 32 by 9 9 was too high as an estimate.
DAD MOM SISTER BROTHER ROVER
DAD MOM SISTER BROTHER ROVER
DAD MOM SISTER 268 BROTHER ROVER
DAD MOM SISTER 32 268 BROTHER ROVER
STEP 0: Use DAD guidelines MOM SISTER 32 268 BROTHER ROVER
STEP 0: Use DAD guidelines MOM SISTER 32 268 BROTHER ROVER
STEP 0: Use DAD guidelines MOM SISTER 32 268 STEP 1: Because 32 cannot go into 2 or 26, DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER
STEP 0: Use 0 DAD guidelines MOM SISTER 32 268 STEP 1: Because 32 cannot go into 2 or 26, DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER
STEP 0: Use 00 DAD guidelines MOM SISTER 32 268 STEP 1: Because 32 cannot go into 2 or 26, DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER
STEP 0: Use 0 08 DAD guidelines MOM SISTER 32 268 STEP 1: Because 32 cannot go into 2 or 26, DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER
STEP 0: Use 0 08 DAD guidelines MOM SISTER 32 268 STEP 1: Because 32 cannot go into 2 or 26, DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER STEP 2: MULTIPLY 32 by 8
STEP 0: Use 0 08 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 256 SISTER DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER STEP 2: MULTIPLY 32 by 8
STEP 0: Use 0 08 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 256 SISTER DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER STEP 2: MULTIPLY 32 by 8 STEP 3: SUBTRACT 268 - 256
STEP 0: Use 0 08 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 256 SISTER DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER 12 STEP 2: MULTIPLY 32 by 8 STEP 3: SUBTRACT 268 - 256
STEP 0: Use 0 08 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 256 SISTER DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER 12 STEP 2: MULTIPLY STEP 3a: COMPARE 32 by 8 Is the remainder less than the divisor? STEP 3: SUBTRACT 268 - 256
STEP 0: Use 0 08 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 256 SISTER DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER 12 STEP 2: MULTIPLY STEP 3a: COMPARE 32 by 8 Is the remainder less than the divisor? If yes, move on. STEP 3: If no, REDO SUBTRACT 268 - 256
STEP 0: Use 0 08 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 256 SISTER DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER 12 STEP 2: MULTIPLY STEP 3a: COMPARE 32 by 8 Is the remainder less than the divisor? If yes, move on. STEP 3: If no, REDO SUBTRACT 268 - 256 12 < 35 MOVE ON
STEP 0: Use 0 08 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 256 SISTER DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER 12 STEP 2: MULTIPLY STEP 3a: COMPARE 32 by 8 Is the remainder less than the divisor? If yes, move on. STEP 3: If no, REDO SUBTRACT 268 - 256 STEP 4: 12 < 35 Nothing to MOVE ON BRING DOWN
STEP 0: Use 0 08 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 256 SISTER DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER 12 STEP 2: MULTIPLY STEP 3a: COMPARE 32 by 8 STEP 5: Is the remainder less than the divisor? REPEAT or REMAINDER If yes, move on. STEP 3: If no, REDO SUBTRACT 268 - 256 STEP 4: 12 < 35 Nothing to MOVE ON BRING DOWN
STEP 0: Use 0 08 r12 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 256 SISTER DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER 12 STEP 2: MULTIPLY STEP 3a: COMPARE 32 by 8 STEP 5: Is the remainder less than the divisor? REPEAT or REMAINDER If yes, move on. STEP 3: If no, REDO SUBTRACT 268 - 256 STEP 4: 12 < 35 Nothing to MOVE ON BRING DOWN
Check By Multiplying 32 Answer: 8 r12 x 8
Check By Multiplying 32 Answer: 8 r12 x 8
Check By Multiplying 32 Answer: 8 r12 x 8 6
Check By Multiplying 1 32 Answer: 8 r12 x 8 6
Check By Multiplying 1 32 Answer: 8 r12 x 8 6
Check By Multiplying 1 32 Answer: 8 r12 x 8 256
Check By Multiplying 1 32 Answer: 8 r12 x 8 256 + 12
Check By Multiplying 1 32 Answer: 8 r12 x 8 256 + 12 8
Check By Multiplying 1 32 Answer: 8 r12 x 8 256 + 12 68
Check By Multiplying 1 32 Answer: 8 r12 x 8 256 + 12 268
Check By Multiplying 1 32 Answer: 8 r12 x 8 256 + 12 268 Checks out!

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5-5 Dividing by Two-Digit Divisors

  • 1. 5-5 Dividing by Two-Digit Divisor Math Notes Number Sense 2.2
  • 2. What you’re learning today... Number Sense 2.2 - Demonstrate proficiency with division ... including long division with multi-digit divisors.
  • 3. What you’re learning today... Number Sense 2.2 - Demonstrate proficiency with division ... including long division with multi-digit divisors. WHAT YOU’VE LEARNED ALREADY
  • 4. What you’re learning today... Number Sense 2.2 - Demonstrate proficiency with division ... including long division with multi-digit divisors. 2 8r6 8 230 16 70 64 06 WHAT YOU’VE LEARNED ALREADY
  • 5. What you’re learning today... Number Sense 2.2 - Demonstrate proficiency with division ... including long division with multi-digit divisors. 2 8r6 8 230 16 WHAT YOU’RE 70 LEARNING TO DO TODAY 64 06 WHAT YOU’VE LEARNED ALREADY
  • 6. What you’re learning today... Number Sense 2.2 - Demonstrate proficiency with division ... including long division with multi-digit divisors. 26 279 2 8r6 8 230 16 WHAT YOU’RE 70 LEARNING TO DO TODAY 64 06 WHAT YOU’VE LEARNED ALREADY
  • 7. What you’re learning today... Number Sense 2.2 - Demonstrate proficiency with division ... including long division with multi-digit divisors. 26 279 2 8r6 8 230 16 WHAT YOU’RE 70 LEARNING TO DO TODAY 64 06 WHAT YOU’VE LEARNED ALREADY
  • 8. What you’re learning today... Number Sense 2.2 - Demonstrate proficiency with division ... including long division with multi-digit divisors. 26 279 2 8r6 8 230 16 WHAT YOU’RE 70 LEARNING TO DO TODAY 64 06 Skills Needed: WHAT YOU’VE Estimating Quotients LEARNED ALREADY
  • 10. Long Division Mnemonic: REVIEW DAD DIVIDE MOM MULTIPLY SISTER SUBTRACT BROTHER BRING DOWN ROVER REPEAT OR REMAINDER
  • 11.
  • 12.
  • 13. 179
  • 17. IMPORTANT: Estimate Quotient 179 ÷ 26 Let’s round this to...
  • 18. IMPORTANT: Estimate Quotient 179 ÷ 30 Let’s round this to...
  • 19. IMPORTANT: Estimate Quotient 179 ÷ Let’s round this to... 30
  • 20. IMPORTANT: Estimate Quotient 179 ÷ Let’s round this to... Skip count 30
  • 21. IMPORTANT: Estimate Quotient 179 ÷ Let’s round this to... Skip count 30 30, 60, 90, 120, 150, 180
  • 22. IMPORTANT: Estimate Quotient 179 ÷ Let’s round this to... Skip count 30 30, 60, 90, 120, 150, 180 Which is close to 179?
  • 23. IMPORTANT: Estimate Quotient 179 ÷ Let’s round this to... Skip count 30 30, 60, 90, 120, 150, 180 Which is close to 179?
  • 24. IMPORTANT: Estimate Quotient 180 ÷ Let’s round this to... Skip count 30 30, 60, 90, 120, 150, 180 Which is close to 179?
  • 25. IMPORTANT: Estimate Quotient Let’s round this to... Skip count 180 ÷ 30 30, 60, 90, 120, 150, 180 Which is close to 179?
  • 26. IMPORTANT: Estimate Quotient Let’s round this to... Skip count 180 ÷ 30 30, 60, 90, 120, 150, 180 Which is close to 179? 30 into 180 is
  • 27. IMPORTANT: Estimate Quotient Let’s round this to... Skip count 180 ÷ 30 30, 60, 90, 120, 150, 180 Which is close to 179? 30 into 180 is 6
  • 30. DAD MOM SISTER 179 BROTHER ROVER
  • 31. DAD MOM SISTER 26 179 BROTHER ROVER
  • 32. STEP 0: Use DAD guidelines MOM SISTER 26 179 BROTHER ROVER
  • 33. STEP 0: Use DAD guidelines MOM SISTER 26 179 BROTHER ROVER
  • 34. STEP 0: Use DAD guidelines MOM SISTER 26 179 STEP 1: Because 26 cannot go into 1 or 17, DIVIDE 169 by 6 BROTHER (Our estimate) ROVER
  • 35. STEP 0: Use 0 DAD guidelines MOM SISTER 26 179 STEP 1: Because 26 cannot go into 1 or 17, DIVIDE 169 by 6 BROTHER (Our estimate) ROVER
  • 36. STEP 0: Use 00 DAD guidelines MOM SISTER 26 179 STEP 1: Because 26 cannot go into 1 or 17, DIVIDE 169 by 6 BROTHER (Our estimate) ROVER
  • 37. STEP 0: Use 00 6 DAD guidelines MOM SISTER 26 179 STEP 1: Because 26 cannot go into 1 or 17, DIVIDE 169 by 6 BROTHER (Our estimate) ROVER
  • 38. STEP 0: Use 00 6 DAD guidelines MOM SISTER 26 179 STEP 1: Because 26 cannot go into 1 or 17, DIVIDE 169 by 6 BROTHER (Our estimate) ROVER STEP 2: MULTIPLY 26 by 6
  • 39. STEP 0: Use 00 6 DAD guidelines MOM 26 179 STEP 1: Because 26 cannot go into 1 or 17, 156 SISTER DIVIDE 169 by 6 BROTHER (Our estimate) ROVER STEP 2: MULTIPLY 26 by 6
  • 40. STEP 0: Use 00 6 DAD guidelines MOM 26 179 STEP 1: Because 26 cannot go into 1 or 17, 156 SISTER DIVIDE 169 by 6 BROTHER (Our estimate) ROVER STEP 2: MULTIPLY 26 by 6 STEP 3: SUBTRACT 179 - 156
  • 41. STEP 0: Use 00 6 DAD guidelines MOM 26 179 STEP 1: Because 26 cannot go into 1 or 17, 156 SISTER DIVIDE 169 by 6 BROTHER (Our estimate) ROVER 23 STEP 2: MULTIPLY 26 by 6 STEP 3: SUBTRACT 179 - 156
  • 42. STEP 0: Use 00 6 DAD guidelines MOM 26 179 STEP 1: Because 26 cannot go into 1 or 17, 156 SISTER DIVIDE 169 by 6 BROTHER (Our estimate) ROVER 23 STEP 2: MULTIPLY STEP 3a: COMPARE 26 by 6 Is the remainder less than the divisor? STEP 3: SUBTRACT 179 - 156
  • 43. STEP 0: Use 00 6 DAD guidelines MOM 26 179 STEP 1: Because 26 cannot go into 1 or 17, 156 SISTER DIVIDE 169 by 6 BROTHER (Our estimate) ROVER 23 STEP 2: MULTIPLY STEP 3a: COMPARE 26 by 6 Is the remainder less than the divisor? If yes, move on. STEP 3: If no, REDO SUBTRACT 179 - 156
  • 44. STEP 0: Use 00 6 DAD guidelines MOM 26 179 STEP 1: Because 26 cannot go into 1 or 17, 156 SISTER DIVIDE 169 by 6 BROTHER (Our estimate) ROVER 23 STEP 2: MULTIPLY STEP 3a: COMPARE 26 by 6 Is the remainder less than the divisor? If yes, move on. STEP 3: If no, REDO SUBTRACT 179 - 156 23 < 26 MOVE ON
  • 45. STEP 0: Use 00 6 DAD guidelines MOM 26 179 STEP 1: Because 26 cannot go into 1 or 17, 156 SISTER DIVIDE 169 by 6 BROTHER (Our estimate) ROVER 23 STEP 2: MULTIPLY STEP 3a: COMPARE 26 by 6 Is the remainder less than the divisor? If yes, move on. STEP 3: If no, REDO SUBTRACT 179 - 156 STEP 4: 23 < 26 Nothing to MOVE ON BRING DOWN
  • 46. STEP 0: Use 00 6 DAD guidelines MOM 26 179 STEP 1: Because 26 cannot go into 1 or 17, 156 SISTER DIVIDE 169 by 6 BROTHER (Our estimate) ROVER 23 STEP 2: MULTIPLY STEP 3a: COMPARE 26 by 6 STEP 5: Is the remainder less than the divisor? REPEAT or REMAINDER If yes, move on. STEP 3: If no, REDO SUBTRACT 179 - 156 STEP 4: 23 < 26 Nothing to MOVE ON BRING DOWN
  • 47. STEP 0: Use 00 6 r23 DAD guidelines MOM 26 179 STEP 1: Because 26 cannot go into 1 or 17, 156 SISTER DIVIDE 169 by 6 BROTHER (Our estimate) ROVER 23 STEP 2: MULTIPLY STEP 3a: COMPARE 26 by 6 STEP 5: Is the remainder less than the divisor? REPEAT or REMAINDER If yes, move on. STEP 3: If no, REDO SUBTRACT 179 - 156 STEP 4: 23 < 26 Nothing to MOVE ON BRING DOWN
  • 48. Check By Multiplying 26 Answer: 6r23 x 6
  • 49. Check By Multiplying 26 Answer: 6r23 x 6
  • 50. Check By Multiplying 26 Answer: 6r23 x 6 6
  • 51. Check By Multiplying 3 26 Answer: 6r23 x 6 6
  • 52. Check By Multiplying 3 26 Answer: 6r23 x 6 6
  • 53. Check By Multiplying 3 26 Answer: 6r23 x 6 156
  • 54. Check By Multiplying 3 26 Answer: 6r23 x 6 156 + 23
  • 55. Check By Multiplying 3 26 Answer: 6r23 x 6 156 + 23 9
  • 56. Check By Multiplying 3 26 Answer: 6r23 x 6 156 + 23 79
  • 57. Check By Multiplying 3 26 Answer: 6r23 x 6 156 + 23 179
  • 58. Check By Multiplying 3 26 Answer: 6r23 x 6 156 + 23 179 Checks out!
  • 59.
  • 60.
  • 61. 258
  • 65. IMPORTANT: Estimate Quotient 258 ÷ 35 Let’s round this to...
  • 66. IMPORTANT: Estimate Quotient 258 ÷ 40 Let’s round this to...
  • 67. IMPORTANT: Estimate Quotient 258 ÷ Let’s round this to... 40
  • 68. IMPORTANT: Estimate Quotient 258 ÷ Let’s round this to... Skip count 40
  • 69. IMPORTANT: Estimate Quotient 258 ÷ Let’s round this to... Skip count 40 40, 80, 120, 160, 200, 240, 280
  • 70. IMPORTANT: Estimate Quotient 258 ÷ Let’s round this to... Skip count 40 40, 80, 120, 160, 200, 240, 280 Which is close to 258?
  • 71. IMPORTANT: Estimate Quotient 258 ÷ Let’s round this to... Skip count 40 40, 80, 120, 160, 200, 240, 280 Which is close to 258?
  • 72. IMPORTANT: Estimate Quotient 240 ÷ Let’s round this to... Skip count 40 40, 80, 120, 160, 200, 240, 280 Which is close to 258?
  • 73. IMPORTANT: Estimate Quotient Let’s round this to... Skip count 240 ÷ 40 40, 80, 120, 160, 200, 240, 280 Which is close to 258?
  • 74. IMPORTANT: Estimate Quotient Let’s round this to... Skip count 240 ÷ 40 40, 80, 120, 160, 200, 240, 280 Which is close to 258? 40 into 240 is
  • 75. IMPORTANT: Estimate Quotient Let’s round this to... Skip count 240 ÷ 40 40, 80, 120, 160, 200, 240, 280 Which is close to 258? 40 into 240 is 6
  • 78. DAD MOM SISTER 258 BROTHER ROVER
  • 79. DAD MOM SISTER 35 258 BROTHER ROVER
  • 80. STEP 0: Use DAD guidelines MOM SISTER 35 258 BROTHER ROVER
  • 81. STEP 0: Use DAD guidelines MOM SISTER 35 258 BROTHER ROVER
  • 82. STEP 0: Use DAD guidelines MOM SISTER 35 258 STEP 1: Because 35 cannot go into 2 or 25, DIVIDE 258 by 35 BROTHER (Our estimate = 6) ROVER
  • 83. STEP 0: Use 0 DAD guidelines MOM SISTER 35 258 STEP 1: Because 35 cannot go into 2 or 25, DIVIDE 258 by 35 BROTHER (Our estimate = 6) ROVER
  • 84. STEP 0: Use 00 DAD guidelines MOM SISTER 35 258 STEP 1: Because 35 cannot go into 2 or 25, DIVIDE 258 by 35 BROTHER (Our estimate = 6) ROVER
  • 85. STEP 0: Use 00 6 DAD guidelines MOM SISTER 35 258 STEP 1: Because 35 cannot go into 2 or 25, DIVIDE 258 by 35 BROTHER (Our estimate = 6) ROVER
  • 86. STEP 0: Use 00 6 DAD guidelines MOM SISTER 35 258 STEP 1: Because 35 cannot go into 2 or 25, DIVIDE 258 by 35 BROTHER (Our estimate = 6) ROVER STEP 2: MULTIPLY 35 by 6
  • 87. STEP 0: Use 00 6 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 210 SISTER DIVIDE 258 by 35 BROTHER (Our estimate = 6) ROVER STEP 2: MULTIPLY 35 by 6
  • 88. STEP 0: Use 00 6 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 210 SISTER DIVIDE 258 by 35 BROTHER (Our estimate = 6) ROVER STEP 2: MULTIPLY 35 by 6 STEP 3: SUBTRACT 258 - 210
  • 89. STEP 0: Use 00 6 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 210 SISTER DIVIDE 258 by 35 BROTHER (Our estimate = 6) ROVER 48 STEP 2: MULTIPLY 35 by 6 STEP 3: SUBTRACT 258 - 210
  • 90. STEP 0: Use 00 6 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 210 SISTER DIVIDE 258 by 35 BROTHER (Our estimate = 6) ROVER 48 STEP 2: MULTIPLY STEP 3a: COMPARE 35 by 6 Is the remainder less than the divisor? STEP 3: SUBTRACT 258 - 210
  • 91. STEP 0: Use 00 6 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 210 SISTER DIVIDE 258 by 35 BROTHER (Our estimate = 6) ROVER 48 STEP 2: MULTIPLY STEP 3a: COMPARE 35 by 6 Is the remainder less than the divisor? If yes, move on. STEP 3: If no, REDO SUBTRACT 258 - 210
  • 92. STEP 0: Use 00 6 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 210 SISTER DIVIDE 258 by 35 BROTHER (Our estimate = 6) ROVER 48 STEP 2: MULTIPLY STEP 3a: COMPARE 35 by 6 Is the remainder less than the divisor? If yes, move on. STEP 3: If no, REDO SUBTRACT 258 - 210 48 > 35 REDO
  • 95. DAD MOM SISTER 258 BROTHER ROVER
  • 96. DAD MOM SISTER 35 258 BROTHER ROVER
  • 97. STEP 0: Use DAD guidelines MOM SISTER 35 258 BROTHER ROVER
  • 98. STEP 0: Use DAD guidelines MOM SISTER 35 258 BROTHER ROVER
  • 99. STEP 0: Use DAD guidelines MOM SISTER 35 258 STEP 1: Because 35 cannot go into 2 or 25, DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER
  • 100. STEP 0: Use 0 DAD guidelines MOM SISTER 35 258 STEP 1: Because 35 cannot go into 2 or 25, DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER
  • 101. STEP 0: Use 00 DAD guidelines MOM SISTER 35 258 STEP 1: Because 35 cannot go into 2 or 25, DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER
  • 102. STEP 0: Use 00 7 DAD guidelines MOM SISTER 35 258 STEP 1: Because 35 cannot go into 2 or 25, DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER
  • 103. STEP 0: Use 00 7 DAD guidelines MOM SISTER 35 258 STEP 1: Because 35 cannot go into 2 or 25, DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER STEP 2: MULTIPLY 35 by 7
  • 104. STEP 0: Use 00 7 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 245 SISTER DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER STEP 2: MULTIPLY 35 by 7
  • 105. STEP 0: Use 00 7 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 245 SISTER DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER STEP 2: MULTIPLY 35 by 7 STEP 3: SUBTRACT 258 - 245
  • 106. STEP 0: Use 00 7 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 245 SISTER DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER 13 STEP 2: MULTIPLY 35 by 7 STEP 3: SUBTRACT 258 - 245
  • 107. STEP 0: Use 00 7 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 245 SISTER DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER 13 STEP 2: MULTIPLY STEP 3a: COMPARE 35 by 7 Is the remainder less than the divisor? STEP 3: SUBTRACT 258 - 245
  • 108. STEP 0: Use 00 7 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 245 SISTER DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER 13 STEP 2: MULTIPLY STEP 3a: COMPARE 35 by 7 Is the remainder less than the divisor? If yes, move on. STEP 3: If no, REDO SUBTRACT 258 - 245
  • 109. STEP 0: Use 00 7 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 245 SISTER DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER 13 STEP 2: MULTIPLY STEP 3a: COMPARE 35 by 7 Is the remainder less than the divisor? If yes, move on. STEP 3: If no, REDO SUBTRACT 258 - 245 13 < 35 Move on
  • 110. STEP 0: Use 00 7 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 245 SISTER DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER 13 STEP 2: MULTIPLY STEP 3a: COMPARE 35 by 7 Is the remainder less than the divisor? If yes, move on. STEP 3: If no, REDO SUBTRACT 258 - 245 STEP 4: 13 < 35 Nothing to Move on BRING DOWN
  • 111. STEP 0: Use 00 7 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 245 SISTER DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER 13 STEP 2: MULTIPLY STEP 3a: COMPARE 35 by 7 STEP 5: Is the remainder less than the divisor? REPEAT or REMAINDER If yes, move on. STEP 3: If no, REDO SUBTRACT 258 - 245 STEP 4: 13 < 35 Nothing to Move on BRING DOWN
  • 112. STEP 0: Use 00 7r13 DAD guidelines MOM 35 258 STEP 1: Because 35 cannot go into 2 or 25, 245 SISTER DIVIDE 258 by 7 BROTHER (1 + our estimate) ROVER 13 STEP 2: MULTIPLY STEP 3a: COMPARE 35 by 7 STEP 5: Is the remainder less than the divisor? REPEAT or REMAINDER If yes, move on. STEP 3: If no, REDO SUBTRACT 258 - 245 STEP 4: 13 < 35 Nothing to Move on BRING DOWN
  • 113. Check By Multiplying 35 Answer: 7 r13 x 7
  • 114. Check By Multiplying 35 Answer: 7 r13 x 7
  • 115. Check By Multiplying 35 Answer: 7 r13 x 7 5
  • 116. Check By Multiplying 3 35 Answer: 7 r13 x 7 5
  • 117. Check By Multiplying 3 35 Answer: 7 r13 x 7 5
  • 118. Check By Multiplying 3 35 Answer: 7 r13 x 7 245
  • 119. Check By Multiplying 3 35 Answer: 7 r13 x 7 245 + 13
  • 120. Check By Multiplying 3 35 Answer: 7 r13 x 7 245 + 13 8
  • 121. Check By Multiplying 3 35 Answer: 7 r13 x 7 245 + 13 58
  • 122. Check By Multiplying 3 35 Answer: 7 r13 x 7 245 + 13 258
  • 123. Check By Multiplying 3 35 Answer: 7 r13 x 7 245 + 13 258 Checks out!
  • 124.
  • 125.
  • 126. 268
  • 127. 32 268
  • 130. IMPORTANT: Estimate Quotient 268 ÷ 32 Let’s round this to...
  • 131. IMPORTANT: Estimate Quotient 268 ÷ 30 Let’s round this to...
  • 132. IMPORTANT: Estimate Quotient 268 ÷ Let’s round this to... 30
  • 133. IMPORTANT: Estimate Quotient 268 ÷ Let’s round this to... Skip count 30
  • 134. IMPORTANT: Estimate Quotient 268 ÷ Let’s round this to... Skip count 30 30, 60, 90, 120, 150, 180, 210, 240, 270, 300
  • 135. IMPORTANT: Estimate Quotient 268 ÷ Let’s round this to... Skip count 30 30, 60, 90, 120, 150, 180, 210, 240, 270, 300 Which is close to 268?
  • 136. IMPORTANT: Estimate Quotient 268 ÷ Let’s round this to... Skip count 30 30, 60, 90, 120, 150, 180, 210, 240, 270, 300 Which is close to 268?
  • 137. IMPORTANT: Estimate Quotient 270 ÷ Let’s round this to... Skip count 30 30, 60, 90, 120, 150, 180, 210, 240, 270, 300 Which is close to 268?
  • 138. IMPORTANT: Estimate Quotient Let’s round this to... Skip count 270 ÷ 30 30, 60, 90, 120, 150, 180, 210, 240, 270, 300 Which is close to 268?
  • 139. IMPORTANT: Estimate Quotient Let’s round this to... Skip count 270 ÷ 30 30, 60, 90, 120, 150, 180, 210, 240, 270, 300 Which is close to 268? 30 into 270 is
  • 140. IMPORTANT: Estimate Quotient Let’s round this to... Skip count 270 ÷ 30 30, 60, 90, 120, 150, 180, 210, 240, 270, 300 Which is close to 268? 30 into 270 is 9
  • 143. DAD MOM SISTER 268 BROTHER ROVER
  • 144. DAD MOM SISTER 32 268 BROTHER ROVER
  • 145. STEP 0: Use DAD guidelines MOM SISTER 32 268 BROTHER ROVER
  • 146. STEP 0: Use DAD guidelines MOM SISTER 32 268 BROTHER ROVER
  • 147. STEP 0: Use DAD guidelines MOM SISTER 32 268 STEP 1: Because 32 cannot go into 2 or 26, DIVIDE 268 by 9 BROTHER (Our estimate) ROVER
  • 148. STEP 0: Use 0 DAD guidelines MOM SISTER 32 268 STEP 1: Because 32 cannot go into 2 or 26, DIVIDE 268 by 9 BROTHER (Our estimate) ROVER
  • 149. STEP 0: Use 00 DAD guidelines MOM SISTER 32 268 STEP 1: Because 32 cannot go into 2 or 26, DIVIDE 268 by 9 BROTHER (Our estimate) ROVER
  • 150. STEP 0: Use 0 09 DAD guidelines MOM SISTER 32 268 STEP 1: Because 32 cannot go into 2 or 26, DIVIDE 268 by 9 BROTHER (Our estimate) ROVER
  • 151. STEP 0: Use 0 09 DAD guidelines MOM SISTER 32 268 STEP 1: Because 32 cannot go into 2 or 26, DIVIDE 268 by 9 BROTHER (Our estimate) ROVER STEP 2: MULTIPLY 32 by 9
  • 152. STEP 0: Use 0 09 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 288 SISTER DIVIDE 268 by 9 BROTHER (Our estimate) ROVER STEP 2: MULTIPLY 32 by 9
  • 153. STEP 0: Use 0 09 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 288 SISTER DIVIDE 268 by 9 BROTHER (Our estimate) ROVER STEP 2: MULTIPLY 32 by 9
  • 154. STEP 0: Use 0 09 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 288 SISTER DIVIDE 268 by 9 BROTHER (Our estimate) ROVER STEP 2: MULTIPLY 32 by 9
  • 155. STEP 0: Use 0 09 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 288 SISTER DIVIDE 268 by 9 BROTHER (Our estimate) ROVER STEP 2: MULTIPLY 32 by 9 9 was too high as an estimate.
  • 158. DAD MOM SISTER 268 BROTHER ROVER
  • 159. DAD MOM SISTER 32 268 BROTHER ROVER
  • 160. STEP 0: Use DAD guidelines MOM SISTER 32 268 BROTHER ROVER
  • 161. STEP 0: Use DAD guidelines MOM SISTER 32 268 BROTHER ROVER
  • 162. STEP 0: Use DAD guidelines MOM SISTER 32 268 STEP 1: Because 32 cannot go into 2 or 26, DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER
  • 163. STEP 0: Use 0 DAD guidelines MOM SISTER 32 268 STEP 1: Because 32 cannot go into 2 or 26, DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER
  • 164. STEP 0: Use 00 DAD guidelines MOM SISTER 32 268 STEP 1: Because 32 cannot go into 2 or 26, DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER
  • 165. STEP 0: Use 0 08 DAD guidelines MOM SISTER 32 268 STEP 1: Because 32 cannot go into 2 or 26, DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER
  • 166. STEP 0: Use 0 08 DAD guidelines MOM SISTER 32 268 STEP 1: Because 32 cannot go into 2 or 26, DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER STEP 2: MULTIPLY 32 by 8
  • 167. STEP 0: Use 0 08 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 256 SISTER DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER STEP 2: MULTIPLY 32 by 8
  • 168. STEP 0: Use 0 08 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 256 SISTER DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER STEP 2: MULTIPLY 32 by 8 STEP 3: SUBTRACT 268 - 256
  • 169. STEP 0: Use 0 08 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 256 SISTER DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER 12 STEP 2: MULTIPLY 32 by 8 STEP 3: SUBTRACT 268 - 256
  • 170. STEP 0: Use 0 08 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 256 SISTER DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER 12 STEP 2: MULTIPLY STEP 3a: COMPARE 32 by 8 Is the remainder less than the divisor? STEP 3: SUBTRACT 268 - 256
  • 171. STEP 0: Use 0 08 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 256 SISTER DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER 12 STEP 2: MULTIPLY STEP 3a: COMPARE 32 by 8 Is the remainder less than the divisor? If yes, move on. STEP 3: If no, REDO SUBTRACT 268 - 256
  • 172. STEP 0: Use 0 08 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 256 SISTER DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER 12 STEP 2: MULTIPLY STEP 3a: COMPARE 32 by 8 Is the remainder less than the divisor? If yes, move on. STEP 3: If no, REDO SUBTRACT 268 - 256 12 < 35 MOVE ON
  • 173. STEP 0: Use 0 08 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 256 SISTER DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER 12 STEP 2: MULTIPLY STEP 3a: COMPARE 32 by 8 Is the remainder less than the divisor? If yes, move on. STEP 3: If no, REDO SUBTRACT 268 - 256 STEP 4: 12 < 35 Nothing to MOVE ON BRING DOWN
  • 174. STEP 0: Use 0 08 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 256 SISTER DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER 12 STEP 2: MULTIPLY STEP 3a: COMPARE 32 by 8 STEP 5: Is the remainder less than the divisor? REPEAT or REMAINDER If yes, move on. STEP 3: If no, REDO SUBTRACT 268 - 256 STEP 4: 12 < 35 Nothing to MOVE ON BRING DOWN
  • 175. STEP 0: Use 0 08 r12 DAD guidelines MOM 32 268 STEP 1: Because 32 cannot go into 2 or 26, 256 SISTER DIVIDE 268 by 8 BROTHER (Our estimate - 1) ROVER 12 STEP 2: MULTIPLY STEP 3a: COMPARE 32 by 8 STEP 5: Is the remainder less than the divisor? REPEAT or REMAINDER If yes, move on. STEP 3: If no, REDO SUBTRACT 268 - 256 STEP 4: 12 < 35 Nothing to MOVE ON BRING DOWN
  • 176. Check By Multiplying 32 Answer: 8 r12 x 8
  • 177. Check By Multiplying 32 Answer: 8 r12 x 8
  • 178. Check By Multiplying 32 Answer: 8 r12 x 8 6
  • 179. Check By Multiplying 1 32 Answer: 8 r12 x 8 6
  • 180. Check By Multiplying 1 32 Answer: 8 r12 x 8 6
  • 181. Check By Multiplying 1 32 Answer: 8 r12 x 8 256
  • 182. Check By Multiplying 1 32 Answer: 8 r12 x 8 256 + 12
  • 183. Check By Multiplying 1 32 Answer: 8 r12 x 8 256 + 12 8
  • 184. Check By Multiplying 1 32 Answer: 8 r12 x 8 256 + 12 68
  • 185. Check By Multiplying 1 32 Answer: 8 r12 x 8 256 + 12 268
  • 186. Check By Multiplying 1 32 Answer: 8 r12 x 8 256 + 12 268 Checks out!

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